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Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes

Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
Planar gluon amplitudes in N=4 SYM are remarkably similar to expectation values of Wilson loops made of light-like segments. We argue that the latter can be determined by making use of the conformal symmetry of the gauge theory, broken by cusp anomalies. We derive the corresponding anomalous conformal Ward identities valid to all loops and show that they uniquely fix the form of the finite part of a Wilson loop with n cusps (up to an additive constant) for n=4 and 5 and reduce the freedom in it to a function of conformal invariants for n?6. We also present an explicit two-loop calculation for n=5. The result confirms the form predicted by the Ward identities and matches the finite part of the two-loop five-gluon planar MHV amplitude, up to a constant. This constitutes another non-trivial test of the Wilson loop/gluon amplitude duality
0550-3213
337-364
Drummond, J.M.
3ea15544-457f-4e72-8ad0-60f3136841db
Henn, J.
81ccb9ec-9fb1-46ae-ac48-9d4afcd2dc86
Korchemsky, G.P.
31a5fda1-802a-4d3c-b0d5-8534e7bbd0d6
Sokatchev, E.
7f872440-69ad-4bb5-80f9-d1a135c7626a
Drummond, J.M.
3ea15544-457f-4e72-8ad0-60f3136841db
Henn, J.
81ccb9ec-9fb1-46ae-ac48-9d4afcd2dc86
Korchemsky, G.P.
31a5fda1-802a-4d3c-b0d5-8534e7bbd0d6
Sokatchev, E.
7f872440-69ad-4bb5-80f9-d1a135c7626a

Drummond, J.M., Henn, J., Korchemsky, G.P. and Sokatchev, E. (2010) Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes. Nuclear Physics B, 826 (1-2), 337-364. (doi:10.1016/j.nuclphysb.2009.10.013).

Record type: Article

Abstract

Planar gluon amplitudes in N=4 SYM are remarkably similar to expectation values of Wilson loops made of light-like segments. We argue that the latter can be determined by making use of the conformal symmetry of the gauge theory, broken by cusp anomalies. We derive the corresponding anomalous conformal Ward identities valid to all loops and show that they uniquely fix the form of the finite part of a Wilson loop with n cusps (up to an additive constant) for n=4 and 5 and reduce the freedom in it to a function of conformal invariants for n?6. We also present an explicit two-loop calculation for n=5. The result confirms the form predicted by the Ward identities and matches the finite part of the two-loop five-gluon planar MHV amplitude, up to a constant. This constitutes another non-trivial test of the Wilson loop/gluon amplitude duality

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Published date: February 2010
Organisations: Theoretical Partical Physics Group

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Local EPrints ID: 356788
URI: http://eprints.soton.ac.uk/id/eprint/356788
ISSN: 0550-3213
PURE UUID: 0e2678ca-afe1-4287-bf5d-4c740471cdd9

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Date deposited: 16 Sep 2013 09:08
Last modified: 09 Nov 2021 00:32

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Contributors

Author: J.M. Drummond
Author: J. Henn
Author: G.P. Korchemsky
Author: E. Sokatchev

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